Abstract: In this paper we discuss the conditions for a composition operator and a weighted compo... more Abstract: In this paper we discuss the conditions for a composition operator and a weighted composition operator to be (n, k)-quasiparanormal and (n, k)-quasi-*-paranormal operator.
An operator T is called n-normal operator if T nT ∗ = T ∗T n and n-quasinormal operator if T nT ∗... more An operator T is called n-normal operator if T nT ∗ = T ∗T n and n-quasinormal operator if T nT ∗T = T ∗TT n. In this paper, the conditions under which composition operators and weighted composition operators become n-normal operators and n-quasinormal operators have been obtained in terms of Radon-Nikodym derivative hn.
American Journal of Mathematical Analysis, Jan 23, 2015
In this paper, study of the composition operators on Lorentz-Karamata-Bochner spaces and characte... more In this paper, study of the composition operators on Lorentz-Karamata-Bochner spaces and characterization of the properties like boundedness, closedness and essential range of these operators on the space has been made.
An operator T on a Hilbert space H is called p-quasiposinormal operator if c 2 T * (T * T) p T ≥ ... more An operator T on a Hilbert space H is called p-quasiposinormal operator if c 2 T * (T * T) p T ≥ T * (T T *) p T where 0 < p ≤ 1 and for some c > 0. In this paper, we have obtained conditions for composition and weighted composition operators to be p-quasiposinormal operators.
Some common tripled fixed point theorems in two quasi-partial b-metric spaces
In this paper some common tripled fixed-point theorems are proved for mappings defined on a set e... more In this paper some common tripled fixed-point theorems are proved for mappings defined on a set equipped with two quasi-partial $b$-metric spaces and some examples are provided to support the results.
International Journal of Mathematical Analysis, 2013
In this paper, we have studied the boundedness, invertibility and compactness of the multiplicati... more In this paper, we have studied the boundedness, invertibility and compactness of the multiplication operators M a induced by the sequence a(n) on the Orlicz-Lorentz sequence space. Condition for the closed range of the multiplication operators on the space has also been derived.
Abstract: In this paper we discuss the conditions for a composition operator and a weighted compo... more Abstract: In this paper we discuss the conditions for a composition operator and a weighted composition operator to be (n, k)-quasiparanormal and (n, k)-quasi-*-paranormal operator.
An operator T is called n-normal operator if T nT ∗ = T ∗T n and n-quasinormal operator if T nT ∗... more An operator T is called n-normal operator if T nT ∗ = T ∗T n and n-quasinormal operator if T nT ∗T = T ∗TT n. In this paper, the conditions under which composition operators and weighted composition operators become n-normal operators and n-quasinormal operators have been obtained in terms of Radon-Nikodym derivative hn.
American Journal of Mathematical Analysis, Jan 23, 2015
In this paper, study of the composition operators on Lorentz-Karamata-Bochner spaces and characte... more In this paper, study of the composition operators on Lorentz-Karamata-Bochner spaces and characterization of the properties like boundedness, closedness and essential range of these operators on the space has been made.
An operator T on a Hilbert space H is called p-quasiposinormal operator if c 2 T * (T * T) p T ≥ ... more An operator T on a Hilbert space H is called p-quasiposinormal operator if c 2 T * (T * T) p T ≥ T * (T T *) p T where 0 < p ≤ 1 and for some c > 0. In this paper, we have obtained conditions for composition and weighted composition operators to be p-quasiposinormal operators.
Some common tripled fixed point theorems in two quasi-partial b-metric spaces
In this paper some common tripled fixed-point theorems are proved for mappings defined on a set e... more In this paper some common tripled fixed-point theorems are proved for mappings defined on a set equipped with two quasi-partial $b$-metric spaces and some examples are provided to support the results.
International Journal of Mathematical Analysis, 2013
In this paper, we have studied the boundedness, invertibility and compactness of the multiplicati... more In this paper, we have studied the boundedness, invertibility and compactness of the multiplication operators M a induced by the sequence a(n) on the Orlicz-Lorentz sequence space. Condition for the closed range of the multiplication operators on the space has also been derived.
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